Description

This function is used to transition from 'off' to 'on'.

Usage

1

Arguments

x

is the measured time.

k

is the transition constant, set arbitrarily high.

t

is the time at which the transition occurs.

Details

This helper function used in P5c and P7c enables the optim function to find parameters three times as quickly than if the transitions betwen the phases are modelled by a logical function e.g. a step function.

Value

For times before 't' the output is less than or equal to 0.5, after this time the the output is greater than 0.5. As 'k' grows larger the rate of transition from 0 to 1 increases.

Note

H is a logistic function that maps inputs to a values between zero and one